The relativistic dynamics of a charged particle moving in a uniform magnetic field and a time-periodic electric field is investigated. It is shown that various features such as nonlinear resonances, stochastic layers near resonance separatrices, bifurcations of fixed points, and reconnection phenomena can be exhibited by the particle when the relativistic effect becomes appreciable. {} 1996 The American Physical Society.
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Kim et al. (1996) studied this question.
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